Not necessarily, because sometimes great art comes when someone sees the beauty or any number of other elements in life. The tormented person often can't see much beyond his torment. I think art requires a person to have depth. Torment and suffering can sometimes "freeze" a person's inner growth to the point where he may not develop the kind of depth required to be the best artist he could be.
As with the plants that grow where conditions are optimum, people tend to grow when conditions are optimum as well. I think people can learn and "grow depth" from suffering, but I think they often need to have at least grown "general depth" in order to best know how what to do with what they've learned from suffering.